A simple random sample of size n=12 is obtained from a population with μ=69 and σ=16. ​(a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample​ mean? Assuming that this condition is​ true, describe the sampling distribution of ˉx. ​(b) Assuming the normal model can be​ used, determine​P(ˉx < 72.6). ​(c) Assuming the normal model can be​ used, determine​P(ˉx ≥ 70.8).

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.